GCF (HCF) of 9 and 10

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Greatest Common Factor of
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What is the Greatest Common Divisor of 9 and 10?

Answer

GCF (HCF) of 9 and 10 is
1

Common factors: 1

Only 1 divides both: 9 and 10 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 9 × 10 = 90.

9 = 32

10 = 2 × 5

Prime910Lowest power
2—2—
332——
5—5—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 1

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GCF Table

Number 1Number 2GCF
933
941
951
963
971
981
9101
9111
9123
9131
9141
9153
9161
9171
9189
9191
9201
9213
9221
9243
9251
9261
9279
9281
9291
9303
9341
9351
9369
9393

FAQ

What is the Greatest Common Divisor of 9 and 10?

GCF (HCF) of 9 and 10 is 1

How to find the GCF of 9 and 10?

You can find the GCF of 9 and 10 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 9 and 10 is 1.

What prime factors do 9 and 10 share?

9 and 10 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 9/10?

Divide the numerator and the denominator by the GCF 1: 9 ÷ 1 = 9 and 10 ÷ 1 = 10. So 9/10 in lowest terms is 9/10.

Are 9 and 10 coprime?

Yes, 9 and 10 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also